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Finding the Third Proportional to 1,180,906,823.07 and 2,537,063,408.68

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Solution

The third proportional to 1,180,906,823.07 and 2,537,063,408.68 is: 5,450,633,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,906,823.07 : 2,537,063,408.68 = 2,537,063,408.68 : x
  2. Step 2: Convert to fraction form
    1,180,906,823.07/2,537,063,408.68 = 2,537,063,408.68/x
  3. Step 3: Cross multiply
    1,180,906,823.07x = 2,537,063,408.68 × 2,537,063,408.68
  4. Step 4: Simplify right side
    1,180,906,823.07x = 6,436,690,739,666,531,328
  5. Step 5: Solve for x
    x = 6,436,690,739,666,531,328/1,180,906,823.07
  6. Step 6: Final answer
    x = 5,450,633,880.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.